In this paper we summarize what’s written in the book “Elementary Linear Algebra” by Howard Anton & Chris Rortes. The book describes the basic methods of elementary linear algebra, linear nature of considering objects: vector (or linear) space, linear transformations, systems of linear equations, quadratic and bilinear forms. The main linear algebra tools considered in this book are systems of linear algebraic equations, determinants, matrixes, conjugation.
The book consists of ten chapters; each part describes one of the major areas of linear algebra.
The first chapter is “Systems of Linear Equations and Matrices”. A System of m linear algebraic equations with n unknown variables (or linear system, also used the abbreviation SLAE) ...
